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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 306 · 40 questions
TalentJR

How to think it through (Middle first): Put “both” in the overlap. Only A = A − both; only B = B − both; at least one = A + B − both. Neither = total − at least one; exactly one = only A + only B.

NameDateTime takenScore ___ / 40
  1. 1.In a group of 41 children, 13 play chess, 28 play carrom and 8 play both. How many play only carrom?
  2. 2.In a group of 44 children, 13 like mangoes, 26 like bananas and 6 like both. How many like only bananas?
  3. 3.In a group of 22 children, 8 like mangoes, 14 like bananas and 4 like both. How many like only mangoes?
  4. 4.In a group of 38 children, 18 like mangoes, 29 like bananas and 12 like both. How many like only bananas?
  5. 5.In a group of 63 children, 29 play cricket, 30 play football and 10 play both. How many play only cricket?
  6. 6.In a group of 40 children, 20 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  7. 7.In a group of 26 grown-ups, 6 drink tea, 14 drink coffee and 3 drink both. How many drink at least one of the two?
  8. 8.In a group of 42 children, 19 sing Hindi songs, 21 sing English songs and 12 sing both. How many sing exactly one of the two?
  9. 9.In a group of 43 children, 19 like mangoes, 31 like bananas and 11 like both. How many like only mangoes?
  10. 10.In a group of 52 children, 19 play cricket, 22 play football and 4 play both. How many play at least one of the two?
  11. 11.In a group of 27 grown-ups, 10 drink tea, 10 drink coffee and 7 drink both. How many drink exactly one of the two?
  12. 12.In a group of 25 children, 20 play chess, 7 play carrom and 3 play both. How many play exactly one of the two?
  13. 13.In a group of 41 children, 15 enjoy drawing, 17 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 25 children, 7 like mangoes, 16 like bananas and 2 like both. How many like only bananas?
  15. 15.In a group of 33 children, 25 play cricket, 17 play football and 11 play both. How many play only cricket?
  16. 16.In a group of 44 children, 23 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 32 children, 6 like mangoes, 21 like bananas and 2 like both. How many like exactly one of the two?
  18. 18.In a group of 45 grown-ups, 13 drink tea, 24 drink coffee and 5 drink both. How many drink at least one of the two?
  19. 19.In a group of 37 children, 18 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 39 children, 21 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  21. 21.In a group of 36 children, 15 play cricket, 26 play football and 9 play both. How many play only football?
  22. 22.In a group of 27 children, 17 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing only English songs?
  23. 23.In a group of 35 children, 20 enjoy drawing, 7 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  24. 24.In a group of 44 children, 30 like mangoes, 18 like bananas and 12 like both. How many like exactly one of the two?
  25. 25.In a group of 35 children, 14 play chess, 24 play carrom and 10 play both. How many play only chess?
  26. 26.In a group of 25 children, 18 play cricket, 8 play football and 5 play both. How many play only cricket?
  27. 27.In a group of 31 children, 17 play chess, 15 play carrom and 10 play both. How many play exactly one of the two?
  28. 28.In a group of 48 children, 14 play cricket, 27 play football and 7 play both. How many play exactly one of the two?
  29. 29.In a group of 37 grown-ups, 17 drink tea, 26 drink coffee and 8 drink both. How many drink neither of the two?
  30. 30.In a group of 30 children, 20 play cricket, 11 play football and 3 play both. How many play only cricket?
  31. 31.In a group of 17 children, 7 play chess, 9 play carrom and 2 play both. How many play exactly one of the two?
  32. 32.In a group of 35 children, 22 like mangoes, 16 like bananas and 4 like both. How many like neither of the two?
  33. 33.In a group of 36 children, 18 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  34. 34.In a group of 26 children, 16 like mangoes, 7 like bananas and 2 like both. How many like exactly one of the two?
  35. 35.In a group of 45 children, 23 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 21 children, 9 play cricket, 10 play football and 5 play both. How many play exactly one of the two?
  37. 37.In a group of 37 children, 17 enjoy drawing, 24 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 33 children, 18 like mangoes, 22 like bananas and 10 like both. How many like exactly one of the two?
  39. 39.In a group of 44 children, 18 like mangoes, 24 like bananas and 7 like both. How many like at least one of the two?
  40. 40.In a group of 37 children, 10 sing Hindi songs, 22 sing English songs and 6 sing both. How many sing neither of the two?

Answer key

  1. 20
  2. 20
  3. 4
  4. 17
  5. 19
  6. 1
  7. 17
  8. 16
  9. 8
  10. 37
  11. 6
  12. 21
  13. 13
  14. 14
  15. 14
  16. 17
  17. 23
  18. 32
  19. 33
  20. 15
  21. 17
  22. 7
  23. 4
  24. 24
  25. 4
  26. 13
  27. 12
  28. 27
  29. 2
  30. 17
  31. 12
  32. 1
  33. 6
  34. 19
  35. 19
  36. 9
  37. 12
  38. 20
  39. 35
  40. 11

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